Volume 16, Number 1, January-March 2010
|Page(s)||194 - 205|
|Published online||19 December 2008|
Optimal measures for the fundamental gap of Schrödinger operators
Collège Condorcet de Bresles, Rue du Petit Chantilly,
60510 Bresles, France. email@example.com
Revised: 24 June 2008
We study the potential which minimizes the fundamental gap of the Schrödinger operator under the total mass constraint. We consider the relaxed potential and prove a regularity result for the optimal one, we also give a description of it. A consequence of this result is the existence of an optimal potential under L1 constraints.
Mathematics Subject Classification: 35J10 / 49K20 / 35J20 / 35B20
Key words: Schrödinger operator / eigenvalue problems / measure theory / shape optimization
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.